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Finding the Fourth Proportional to 11,668.32, 16,102.53 and 6,563.70

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Solution

The fourth proportional to 11,668.32, 16,102.53 and 6,563.70 is: 9,058.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,668.32 : 16,102.53 = 6,563.70 : x
  2. Step 2: Convert to fraction form
    11,668.32/16,102.53 = 6,563.70/x
  3. Step 3: Cross multiply
    11,668.32x = 16,102.53 × 6,563.70
  4. Step 4: Simplify right side
    11,668.32x = 105,692,176.16
  5. Step 5: Solve for x
    x = 105,692,176.16/11,668.32
  6. Step 6: Final answer
    x = 9,058.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.